On a sum form functional equation emerging from statistics and its applications

Results in Nonlinear Analysis（2021）

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Abstract

In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.

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Key words

additive mapping,bounded mapping,linear mapping,logarithmic mapping,the entropies of type (α β),diversity index,expectation of a discrete random variable

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